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arXiv · 1601.01148

Monomial Difference Ideals

Jie Wang
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Abstract

In this paper, basic properties of monomial difference ideals are studied. We prove the finitely generated property of well-mixed difference ideals generated by monomials. Furthermore, a finite prime decomposition of radical well-mixed monomial difference ideals is given. As a consequence, we prove that every strictly ascending chain of radical well-mixed monomial difference ideals in a difference polynomial ring is finite, which answers a question raised by E. Hrushovski in the monomial case. Moreover, the Alexander Duality for monomial ideals is generalized to the monomial case.

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Jie Wang. 2016-06-16. Monomial Difference Ideals. https://arxiv.org/abs/1601.01148

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